Before the experimental measurements of the \(B^0 \rightarrow K^0 X(3872)\)  and \(B^+ \rightarrow K^+ X(3872)\)  decays, a pioneering theoretical study of the exclusive production of the \(X(3872)\)  resonance in \(B\)  meson decays was performed in Ref. [1]}. In that work, in the molecular picture where the \(X(3872)\)  resonance is a loosely bound \(S\) -wave state of the charmed mesons \(D^0\bar{D}^{*0}\)  or \(\bar{D}^0 D^{*0}\)  [2]}, the ratio of the branching fractions of \(B^0 \rightarrow X(3872) K^0\)  and \(B^+ \rightarrow X(3872) K^+\)  is expressed in terms of the model parameters that parameterize the amplitudes of the \(B \rightarrow \bar{D} D^*K\)  decays. Based on the determined model parameters from the analysis of the experimental data, it was shown that the calculated branching fraction of the \(B^0 \rightarrow K^0 X(3872)\)  decay is suppressed by more than one order of magnitude compared to that of the \(B^+ \rightarrow K^+ X(3872)\)  decay.
